Answer:0.1
Step-by-step explanation:
Substract ,add & divide
The slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - slope
b - y-intercept
<em>add x to both sides</em>
<em>divide both sides by (-2)</em>
![y=-\dfrac{1}{2}x+5](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7Dx%2B5)
It's a linear function.
We need only two points to plotting a graph.
We choose any three values of x and calculate y.
![\for\ x=0\to y=-\dfrac{1}{2}(0)+5=0+5=5\to(0,\ 5)\\\\for\ x=4\to y=-\dfrac{1}{2}(4)+5=-2+5=3\to(4,\ 3)\\\\for\ x=6\to y=-\dfrac{1}{2}(6)+5=-3+5=2\to(6,\ 2)](https://tex.z-dn.net/?f=%5Cfor%5C%20x%3D0%5Cto%20y%3D-%5Cdfrac%7B1%7D%7B2%7D%280%29%2B5%3D0%2B5%3D5%5Cto%280%2C%5C%205%29%5C%5C%5C%5Cfor%5C%20x%3D4%5Cto%20y%3D-%5Cdfrac%7B1%7D%7B2%7D%284%29%2B5%3D-2%2B5%3D3%5Cto%284%2C%5C%203%29%5C%5C%5C%5Cfor%5C%20x%3D6%5Cto%20y%3D-%5Cdfrac%7B1%7D%7B2%7D%286%29%2B5%3D-3%2B5%3D2%5Cto%286%2C%5C%202%29)
Answer:
3b^2
Step-by-step explanation:
12b^2=3 b^2 *4
15b^3=3*5*b^2*b
the greatest common factor is 3b^2
<h2>Hello!</h2>
The answer is: All of the above.
<h2>Why?</h2>
First, we need to know that both triangles have the same dimensions:
![Base= 5Units\\Height=3Units\\Hypotenuse=\sqrt{5^{2}+3^{2}}=5.83Units](https://tex.z-dn.net/?f=Base%3D%205Units%5C%5CHeight%3D3Units%5C%5CHypotenuse%3D%5Csqrt%7B5%5E%7B2%7D%2B3%5E%7B2%7D%7D%3D5.83Units)
If two triangles have the same side length, the angles will be the same two.
Hence,
If both triangles have the same side length, they are congruent according to the Side-Side-Side(SSS) triangle congruence theorem. It also means that:
Both triangles have the same angles, meaning that its angles are congruent. If there is at least one angle which is congruent, and there are at least two sides that are equal for both triangles, the triangles are congruent according to the Side-Angle-Side (SAS) triangle congruence theorem.
If two angles and at least a side are congruent, the triangles are congruent. According to the Angle-Side-Angle(ASA), if two angles and the included side are congruent, the triangles are congruent.
For this case, each theorem will be satisfied because the triangles have the same side length, meaning that all of the above theorem can prove that the triangles ABC and DEF are congruent.
Have a nice day!
4x+18=7x-12
We move all terms to the left:
4x+18-(7x-12)=0
We get rid of parentheses
4x-7x+12+18=0
We add all the numbers together, and all the variables
-3x+30=0
We move all terms containing x to the left, all other terms to the right
-3x=-30
x=-30/-3
x=+10
Hope this helps :)